GCF of 4370/202, 1101/6420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4370/202, 1101/6420 i.e 1/648420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4370/202, 1101/6420.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4370/202,1101/6420?
Given fractions are 4370/202,1101/6420
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4370/202,1101/6420, numerators are 4370,1101
Denominators are 202,6420
The GCF of 4370,1101 is 1 .
LCM of 202,6420 is 648420.
The greatest common factor of 4370/202,1101/6420 = [GCF of 4370,1101]/[LCM of 202,6420]= 1/648420
Therefore, the GCF of 4370/202,1101/6420 is 1/648420.
To find the highest common factor of 4370,1101, we have to find the factors of both numbers and list the highest common factor.
The factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370
The factors of 1101 are 1, 3, 367, 1101
The HCF of 4370,1101 is 1.
Lets's calculate GCF of 4370,1101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4370,1101 By Matching Biggest Common Factor Method
Now, list down the factors of 4370
:1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370
Now, list down the factors of 1101
:1,3,367,1101
Greatest Common Factor
We found the factors 4370,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 4370,1101 is 1.
Lets's calculate LCM of 202,6420
| 2 | 202, 6420 |
| 101, 3210 |
∴ So the LCM of the given numbers is 2 x 101 x 3210 = 648420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648420
Therefore, the GCF of Fractions 4370/202,1101/6420 is 1/648420
Least Common Multiple of 202,6420 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 202,6420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6420) x common factors =2 x 1 = 2
LCM(202,6420) = ( 202 × 6420 ) / 2
LCM(202,6420) = 1296840 / 2
LCM(202,6420) = 648420
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FAQs on GCF of Fractions of 4370/202, 1101/6420
1. What is the HCF of 4370,1101?
The HCF of 4370,1101 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4370/202, 1101/6420?
Answer: GCF of Numerators as per given numbers 4370/202, 1101/6420 is
GCF of Numerators i.e. for 4370,1101 is 1
LCM of denominators i.e. for 202,6420 is 648420.
Thus, GCF of Fractions is 1/648420.Finally, GCF of Fractions for 4370/202, 1101/6420 is 1/648420.